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Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making

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WOS被引频次:205
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成果类型:
期刊论文
作者:
Tan, Chunqiao*;Chen, Xiaohong
通讯作者:
Tan, Chunqiao
作者机构:
[Chen, Xiaohong; Tan, Chunqiao] Cent S Univ, Sch Business, Changsha 410083, Hunan, Peoples R China.
通讯机构:
[Tan, Chunqiao] Cent S Univ, Sch Business, Changsha 410083, Hunan, Peoples R China.
语种:
英文
关键词:
Choquet integral;Multi-criteria decision making;Intuitionistic fuzzy sets;Fuzzy measures;Interaction
期刊:
Expert Systems with Applications
ISSN:
0957-4174
年:
2010
卷:
37
期:
1
页码:
149-157
文献类别:
WOS:Article;EI:Journal article (JA)
所属学科:
ESI学科类别:工程学;WOS学科类别:Computer Science, Artificial Intelligence;Engineering, Electrical & Electronic;Operations Research & Management Science
入藏号:
WOS:000271571000017;EI:20094012361801
机构署名:
本校为第一且通讯机构
院系归属:
商学院
摘要:
For the real decision making problems, most criteria have inter-dependent or interactive characteristics so that it is not suitable for us to aggregate them by traditional aggregation operators based on additive measures. Thus, to approximate the human subjective decision making process, it would be more suitable to apply fuzzy measures, where it is not necessary to assume additivity and independence among decision making criteria. In this paper, an intuitionistic fuzzy Choquet integral is proposed for multiple criteria decision making, where interactions phenomena among the decision making criteria are considered. First, we introduced two operational laws on intuitionistic fuzzy values. Then, based on these operational laws, intuitionistic fuzzy Choquet integral operator is proposed. Moreover, some of its properties are investigated. It is shown that the intuitionistic fuzzy Choquet integral operator can be represented by some special t-norms and t-conorms, and it is also a generalization of the intuitionistic fuzzy OWA operator and intuitionistic fuzzy weighted averaging operator. Further, the procedure and algorithm of multi-criteria decision making based on intuitionistic fuzzy Choquet integral operator is given under uncertain environment. Finally, a practical example is provided to illustrate the developed approaches. ©2009 Elsevier Ltd. All rights reserved.
参考文献:
Atanassov K, 2005, INT J SYST SCI, V36, P859, DOI 10.1080/00207720500382365
Atanassov K., 1999, INTUITIONISTIC FUZZY
ATANASSOV KT, 1986, FUZZY SET SYST, V20, P87, DOI 10.1016/S0165-0114(86)80034-3
Bustince H, 1996, FUZZY SET SYST, V79, P403, DOI 10.1016/0165-0114(95)00154-9
CHEN SM, 1994, FUZZY SET SYST, V67, P163, DOI 10.1016/0165-0114(94)90084-1

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